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Finding the Fourth Proportional to 3,188.13, 4,776.69 and 1,728.30

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Solution

The fourth proportional to 3,188.13, 4,776.69 and 1,728.30 is: 2,589.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,188.13 : 4,776.69 = 1,728.30 : x
  2. Step 2: Convert to fraction form
    3,188.13/4,776.69 = 1,728.30/x
  3. Step 3: Cross multiply
    3,188.13x = 4,776.69 × 1,728.30
  4. Step 4: Simplify right side
    3,188.13x = 8,255,553.33
  5. Step 5: Solve for x
    x = 8,255,553.33/3,188.13
  6. Step 6: Final answer
    x = 2,589.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.